Cargando…
Normal Approximation by Stein's Method
Since its introduction in 1972, Stein's method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicat...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Probability and Its Applications
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-15007-4 | ||
| 003 | DE-He213 | ||
| 005 | 20220116215825.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 101013s2011 gw | s |||| 0|eng d | ||
| 020 | |a 9783642150074 |9 978-3-642-15007-4 | ||
| 024 | 7 | |a 10.1007/978-3-642-15007-4 |2 doi | |
| 050 | 4 | |a QA273.A1-274.9 | |
| 072 | 7 | |a PBT |2 bicssc | |
| 072 | 7 | |a PBWL |2 bicssc | |
| 072 | 7 | |a MAT029000 |2 bisacsh | |
| 072 | 7 | |a PBT |2 thema | |
| 072 | 7 | |a PBWL |2 thema | |
| 082 | 0 | 4 | |a 519.2 |2 23 |
| 100 | 1 | |a Chen, Louis H.Y. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Normal Approximation by Stein's Method |h [electronic resource] / |c by Louis H.Y. Chen, Larry Goldstein, Qi-Man Shao. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2011. | |
| 300 | |a XII, 408 p. 3 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Probability and Its Applications | |
| 505 | 0 | |a Preface -- 1.Introduction -- 2.Fundamentals of Stein's Method -- 3.Berry-Esseen Bounds for Independent Random Variables -- 4.L^1 Bounds -- 5.L^1 by Bounded Couplings -- 6 L^1: Applications -- 7.Non-uniform Bounds for Independent Random Variables -- 8.Uniform and Non-uniform Bounds under Local Dependence -- 9.Uniform and Non-Uniform Bounds for Non-linear Statistics -- 10.Moderate Deviations -- 11.Multivariate Normal Approximation -- 12.Discretized normal approximation -- 13.Non-normal Approximation -- 14.Extensions -- References -- Author Index -- Subject Index -- Notation. | |
| 520 | |a Since its introduction in 1972, Stein's method has offered a completely novel way of evaluating the quality of normal approximations. Through its characterizing equation approach, it is able to provide approximation error bounds in a wide variety of situations, even in the presence of complicated dependence. Use of the method thus opens the door to the analysis of random phenomena arising in areas including statistics, physics, and molecular biology. Though Stein's method for normal approximation is now mature, the literature has so far lacked a complete self contained treatment. This volume contains thorough coverage of the method's fundamentals, includes a large number of recent developments in both theory and applications, and will help accelerate the appreciation, understanding, and use of Stein's method by providing the reader with the tools needed to apply it in new situations. It addresses researchers as well as graduate students in Probability, Statistics and Combinatorics. | ||
| 650 | 0 | |a Probabilities. | |
| 650 | 1 | 4 | |a Probability Theory. |
| 700 | 1 | |a Goldstein, Larry. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Shao, Qi-Man. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642150067 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642265655 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642150081 |
| 830 | 0 | |a Probability and Its Applications | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-15007-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||